Yes, you can send push notifications through your blogger website. 

To send blogger push notifications, there are two ways to do. 

  1. First, you can build your push platform. 

Here is a guide from Google to create a push notifications platform for your website. 

This method takes more time to build and implement your push platform. And, there are very few options to add more functionalities to your push platform. 

2. Second, you can integrate with existing push notification services. 

This method is easy to implement and takes just a few minutes to implement. In addition to that, push services provide better customization options with a dedicated dashboard to show campaign metrics. 

To start sending blogger push notifications for free, follow this detailed integration guide